What is the sum of all real values of that satisfy ?
Answer and explanation
Correct answer: A. 1
- 4 is the sum of the substitution roots , rather than the values.
- 3 is the product of the substitution roots .
- 0 is only one of the individual solutions () rather than their sum ().
- 3 is the product of the substitution roots .
- 0 is only one of the individual solutions () rather than their sum ().
- Step 1: Note that . Substitute to obtain the quadratic .
- Step 2: Factor the quadratic: , giving and .
- Step 3: Solve for : , and . The sum of all real solutions is .
Answer
1.
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